The number 9 is a "perfect square." Find four numbers that are perfect squares and two numbers that are not perfect squares.
A square has side length 7 in. What is its area?
The area of a square is 64 sq cm. What is its side length?
11.2
Activity
Building with 32 Cubes
Standards Alignment
Building On
5.MD.5.a
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Your teacher will give you 32 snap cubes. Use them to build the largest single cube you can. Each small cube has an edge length of 1 unit.
How many snap cubes did you use?
What is the edge length of the cube you built?
What is the area of each face of the built cube? Be prepared to explain your reasoning.
What is the volume of the built cube? Be prepared to explain your reasoning.
11.3
Activity
Perfect Cubes
Standards Alignment
Building On
5.MD.5.a
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.